Information on Result #2537717
Linear OOA(561, 112, F5, 2, 27) (dual of [(112, 2), 163, 28]-NRT-code), using 51 times duplication based on linear OOA(560, 112, F5, 2, 27) (dual of [(112, 2), 164, 28]-NRT-code), using
- extracting embedded OOA [i] based on digital (33, 60, 112)-net over F5, using
- trace code for nets [i] based on digital (3, 30, 56)-net over F25, using
- net from sequence [i] based on digital (3, 55)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 3 and N(F) ≥ 56, using
- net from sequence [i] based on digital (3, 55)-sequence over F25, using
- trace code for nets [i] based on digital (3, 30, 56)-net over F25, using
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(561, 112, F5, 3, 27) (dual of [(112, 3), 275, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |